Task-1: Discover the available WiFi network
This can be done by getting WifiManager's instance from the System.
WifiManager wifiManager = (WifiManager) context.getSystemService(Context.WIFI_SERVICE);
wifiManager.getScanResults();
// The above is an async call and will results are available System will broadcast `SCAN_RESULTS_AVAILABLE` intent and you need to set a `BroadCastReceiver` for it.
// And get the results like this
List<ScanResult> results = wifiManager.getScanResults();
Task-2&3: find the network speed
This link gives an answer to your question about how to get network speeds of wifi and mobile network
Wifi:
WifiManager wifiManager = (WifiManager)context.getSystemService(Context.WIFI_SERVICE);
int linkSpeed = wifiManager.getConnectionInfo().getRssi();
In case of mobile it should work:
TelephonyManager telephonyManager = (TelephonyManager)this.getSystemService(Context.TELEPHONY_SERVICE);
CellInfoGsm cellinfogsm = (CellInfoGsm)telephonyManager.getAllCellInfo().get(0);
CellSignalStrengthGsm cellSignalStrengthGsm = cellinfogsm.getCellSignalStrength();
cellSignalStrengthGsm.getDbm();
Then You should compare this signal levels and if WIFI signal is better keep it turn on, but if mobile is better disconnect wifi
Task-4: Switching to the option with higher speed
In Android by default, if wifi is on and connected then your mobile network won't be used. Hence to use mobile data you must either disconnect from all available wifi-networks or switch off the wifi.
I will also suggest you to read link this, this and this for getting more information on how to get connection speed.